Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 22, pp. 1-12.

Title: Functional compression-expansion fixed point theorem
 
Authors: Richard Avery (Dakota State Univ., Madison, SD, USA)
         Johnny Henderson (Baylor Univ., Waco, Texas, USA)
	 Donal O'regan (National Univ. of Ireland, Galway, Ireland)

Abstract: 
 This paper presents a generalization of the  fixed point theorems
 of compression and expansion of functional type.   As an
 application, the existence of a positive solution to a second
 order conjugate boundary value problem is considered.  We conclude
 with an extension to multivalued maps.
 
Submitted January 31, 2008. Published February 22, 2008.
Math Subject Classifications: 47H10.
Key Words: Fixed-point theorems; cone; positive solutions; 
           multivalued maps.